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Answer:
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Step-by-step explanation:
1st sum:-
so here both angle kjl and angle kml intercepts same arc on circumference of adjoining circle ie arc kl
so as we know that angle inscribed in same arc are equal
angle kjl=angle kml
ie (12x+8)=(10x+16)
so 2x=8
ie x=4
so substitute value of x in both angle kjl and angle kml
we get
angle kjl=angle kml=56 degrees
2nd sum:-
so here angle kml is an exterior angle for triangle
kjm
so we know that by exterior angle property
an exterior angle of any triangle is equal to its sum of opposite remote interior angles
thus angle kjl=angle angle kjm+angle jkm
so here angle kjm=40 angle angle kml=80
thus angle kjl=40+80
thus angle kjl=120
so by using angle sum property in triangle kml
we get
angle kml+angle mlk+angle lkm=180
so here angle mkl=25
thus angle klm=180-(120+25)
=180-145
=35 degrees
thus angle klm=35 degrees
ie x=35 degrees